3(4x-1)=2(x+5)

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Solution for 3(4x-1)=2(x+5) equation:


Simplifying
3(4x + -1) = 2(x + 5)

Reorder the terms:
3(-1 + 4x) = 2(x + 5)
(-1 * 3 + 4x * 3) = 2(x + 5)
(-3 + 12x) = 2(x + 5)

Reorder the terms:
-3 + 12x = 2(5 + x)
-3 + 12x = (5 * 2 + x * 2)
-3 + 12x = (10 + 2x)

Solving
-3 + 12x = 10 + 2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2x' to each side of the equation.
-3 + 12x + -2x = 10 + 2x + -2x

Combine like terms: 12x + -2x = 10x
-3 + 10x = 10 + 2x + -2x

Combine like terms: 2x + -2x = 0
-3 + 10x = 10 + 0
-3 + 10x = 10

Add '3' to each side of the equation.
-3 + 3 + 10x = 10 + 3

Combine like terms: -3 + 3 = 0
0 + 10x = 10 + 3
10x = 10 + 3

Combine like terms: 10 + 3 = 13
10x = 13

Divide each side by '10'.
x = 1.3

Simplifying
x = 1.3

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